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Finding the Fourth Proportional to 31,599.64, 47,414.12 and 13,827.96

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Solution

The fourth proportional to 31,599.64, 47,414.12 and 13,827.96 is: 20,748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,599.64 : 47,414.12 = 13,827.96 : x
  2. Step 2: Convert to fraction form
    31,599.64/47,414.12 = 13,827.96/x
  3. Step 3: Cross multiply
    31,599.64x = 47,414.12 × 13,827.96
  4. Step 4: Simplify right side
    31,599.64x = 655,640,554.80
  5. Step 5: Solve for x
    x = 655,640,554.80/31,599.64
  6. Step 6: Final answer
    x = 20,748.36

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